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Finding the Fourth Proportional to 1,087.96, 1,629.18 and 794.26

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Solution

The fourth proportional to 1,087.96, 1,629.18 and 794.26 is: 1,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.96 : 1,629.18 = 794.26 : x
  2. Step 2: Convert to fraction form
    1,087.96/1,629.18 = 794.26/x
  3. Step 3: Cross multiply
    1,087.96x = 1,629.18 × 794.26
  4. Step 4: Simplify right side
    1,087.96x = 1,293,992.51
  5. Step 5: Solve for x
    x = 1,293,992.51/1,087.96
  6. Step 6: Final answer
    x = 1,189.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.